Arrow's Impossibility Theorem is commonly understood to invoke a dictatorship that is somehow lurking within our voting arrangements. A well-recognized statement of the theorem is that "any constitution that respects transitivity, independence of irrelevant alternatives and unanimity is a...

Arrow's theorem proves that no voting procedure can meet certain conditions of both fairness and logic. In this note, Grant Hayden explores the ramifications of the theorem for qualitative vote dilution. After describing Arrow's argument, Mr. Hayden considers four democratic voting procedures...

This paper proposes a new formulation of the Borda rule in order to deal with the problem of cloning manipulation. This new Borda voting specification will be named: Dynamic Borda Voting (DBV) and it satisfies Arrow's IIA condition. The calculations, propositions with proof and explanations are...

In this paper, virtual implementation is restricted so that only a socially optimal outcome or some fixed outcome (a status quo) can be delivered on the equilibrium path. Under such a restriction, any unanimous and implementable social choice function is almost-dictatorial. That is, there is an...

Abstract: Since the 18th century, doubt has been raised concerning “rational” majoritarian public choice: the “voting paradox” holds, in a simple calculation made famous by the Marquis de Condorcet, that rational resolution of divergent preferences by voting is impossible. The economist...

The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for...